By: |
Sylvain Béal (CRESE - Centre de REcherches sur les Stratégies Economiques - UFC - UFC - Université de Franche-Comté, UBFC - Université Bourgogne Franche-Comté);
Sylvain Ferrières (CRESE - Centre de REcherches sur les Stratégies Economiques - UFC - UFC - Université de Franche-Comté, UBFC - Université Bourgogne Franche-Comté, Leipzig Graduate School of Management);
Eric Rémila (GATE Lyon Saint-Étienne - Groupe d'analyse et de théorie économique - CNRS - Centre National de la Recherche Scientifique - UCBL - Université Claude Bernard Lyon 1 - UL2 - Université Lumière - Lyon 2 - Université Jean Monnet - Saint-Etienne - PRES Université de Lyon - ENS Lyon - École normale supérieure - Lyon);
Philippe Solal (GATE Lyon Saint-Étienne - Groupe d'analyse et de théorie économique - CNRS - Centre National de la Recherche Scientifique - UCBL - Université Claude Bernard Lyon 1 - UL2 - Université Lumière - Lyon 2 - Université Jean Monnet - Saint-Etienne - PRES Université de Lyon - ENS Lyon - École normale supérieure - Lyon) |
Abstract: |
A variant of the h-index introduced in García-Pérez (2009), called the
iterated h-index, is studied to evaluate the productivity of scholars. It
consists of successive applications of the h-index so as to obtain a vector of
h-indices. In particular, the iterated h-index fixes a drawback of the h-index
since it allows for (lexicographic) comparisons of scholars with the same
h-index. Two types or results are presented. Firstly, we provide an axiomatic
characterization of the iterated h-index, which rests on a new axiom of
consistency and extensions of axioms in the literature to a richer framework.
Secondly, we apply the h-index and iterated h-index to offer alternative sport
rankings in tennis, football and basketball. These applications clearly
demonstrate that the iterated h-index is much more appropriate than the
classical h-index. |
Keywords: |
h-index,iterated h-index,axioms,sports ranking |
Date: |
2016–10–01 |
URL: |
http://d.repec.org/n?u=RePEc:hal:wpaper:hal-01394818&r=spo |